997610702400 has 1008 divisors, whose sum is σ = 3982324003840. Its totient is φ = 235196006400.

The previous prime is 997610702371. The next prime is 997610702411. The reversal of 997610702400 is 4207016799.

997610702400 is a `hidden beast` number, since 9 + 9 + 7 + 610 + 7 + 0 + 24 + 0 + 0 = 666.

It is a super-2 number, since 2×997610702400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 597728766 + ... + 597730434.

Almost surely, 2^997610702400 is an apocalyptic number.

997610702400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997610702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991162001920).

997610702400 is an abundant number, since it is smaller than the sum of its proper divisors (2984713301440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

997610702400 is a wasteful number, since it uses less digits than its factorization.

997610702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 997610702400 in words is "nine hundred ninety-seven billion, six hundred ten million, seven hundred two thousand, four hundred".